Question

решить уравнение 3 в степени x+2 +3 в степени x+3=108

Answer 1

$3^{x+2} + 3^{x+3} =108 \ \ 9*3^x+27*3^x=108 \ \ 36*3^x=108 \ \ 3^x=108:36 \ \ 3^x=3^1 \ \ x=1$

Answer 2

$3 {}^{x + 2} + {3}^{x + 3} = 108 \ \ (1 + 3) times {3}^{x + 2} = 108 \ \ 4 times {3}^{x + 2} = 108 \ \ {3}^{x + 2} = 27 \ \ {3}^{x + 2} {3}^{3} \ \ x + 2 = 3 \ \ x = 3 - 2 \ \ x = 1$